Answer
$4.5$ $ft-lb$
Work Step by Step
The work is calculated with the formula:
$W$ = $\int_a^b{f(x)}dx$
Substitute $a=1$, $b=10$ and $f(x)=5x^{-2}$ to calculate the work:
$$\begin{align*}
W& = \int_1^{10}{5x^{-2}}dx \\
&= 5[-x^{-1}]|_1^{10} \\
&= 5\left[-\frac{1}{10}+1\right]\\
& = 4.5 ft-lb
\end{align*}$$
